Age 5 to 7 Challenge Level: Can you get four in a row? If you had a weight on the left-hand 7, where could you hang two weights on the right to make it balance? Eggs in Baskets Age 5 to 7 Challenge Level: Can you find out how to be the first to get to 12 o’clock?

Register for our mailing list. What different shapes do they make if each part lies in the small squares of a 4 by 4 square? Can you find out their scores? Two Dice Age 5 to 7 Challenge Level: Scroll down to see our complete collection of KS1 problems that require children to work systematically, or explore the two sub-collections focusing on important aspects of systematic working. Even and Odd Age 5 to 7 Challenge Level: Try grouping the dominoes in the ways described.

Triangle Animals Age 5 to 7 Ardition Level: There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs.

She stopped for a rest after writing seventeen digits. Next Domino Age 5 to 7 Challenge Level: If you know the numbers that come out, what addition might be going on in the box?

Working Systematically at KS1 :

How could you answer these questions using a picture, with things, with numbers or symbols? Try grouping the dominoes in the ways described. What are all the different possible answers? Try grouping the dominoes in the ways described.


How could you put these three beads into bags? Arrange the numbers 1 to 6 in each set of circles below.

nrich problem solving ks1 addition

What are the secret jumps they make with their counters? There are nine teddies in Teddy Town – three addiition, three blue and three yellow. Will you be the first to reach the target?

Can you match the cards? An environment which simulates working with Cuisenaire rods. Ptoblem Trouble Age 3 to 5 Doubling numbers. The tasks in this collection encourage upper primary children to conjecture and generalise.

Addition and Subtraction KS1

A game for two people, or addirion online. Robot Monsters Age 5 to 7 Challenge Level: On a farm there were some hens and sheep.

How could you record what you’ve done? Use five steps to count forwards or backwards in 1s or 10s to get to Can you find 2 butterflies to go on each flower so that the numbers on each pair of butterflies adds to the same number as the one on the flower?


Adding and Taking Away

Always, Sometimes or Never? What could Lolla have paid for the balloon?

nrich problem solving ks1 addition

Two Dice Age 5 to 7 Challenge Level: This dice train has been ntich using specific rules. Use the ‘double-3 down’ dominoes to make a square so that each side has eight dots.

Addition and Subtraction KS2 :

Can you work out where their counters will land? Throw the dice and decide whether to double or halve the number. Are these statements relating to calculation and properties of shapes always true, sometimes true or never true? Number Differences Age 7 to 11 Challenge Level: Dotty Six is a simple dice game that you can adapt additoin many ways. How could I make a dark green rod using yellow and white rods?